Step-by-step explanation:
cot x + 2 tan x + tan³ x
Write in terms of sine and cosine:
(cos x / sin x) + 2 (sin x / cos x) + (sin³ x / cos³ x)
Find the common denominator:
(cos⁴ x / (sin x cos³ x) + 2 (sin² x cos² x / (sin x cos³ x)) + (sin⁴ x / (sin x cos³ x))
Add:
(cos⁴ x + 2 sin² x cos² x + sin⁴ x) / (sin x cos³ x)
Factor:
(sin² x + cos² x)² / (sin x cos³ x)
Pythagorean identity:
1 / (sin x cos³ x)
Multiply top and bottom by cos x:
cos x / (sin x cos⁴ x)
Simplify:
cot x sec⁴ x
Answer:
(-2,-2)
Step-by-step explanation:
If two events are independent, then
.
Use formulas for conditional probabilities:
.
For independent events these formulas will be:
.
Now in your case 
and 
.
This shows that the only correct choice is A.
Mrs. Walters gets 14.4 miles per gallon.
Mr. Walters gets 15 miles per gallon.
So Mr. Walters car is better because he gets more miles out of one gallon of gas.
360/25=14.4 480/32=15
Stephen can read 90 pages in 6 days witch means he reads 15 pages per day. Which means it will take him 20 days to read a 300 page book.
90/6=15 300/15=20
Answer:
7x
Step-by-step explanation:
4+3= 7
=7x
(since they both have the variable "x" we can combine them both)
have a good day! <3
